Enter the x and y components of the velocity into the calculator to determine the magnitude and angle of the velocity.

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## Magnitude of Velocity Formula

The following equation is used to calculate the Magnitude of Velocity.

Vm = SQRT( Vx^2 + Vy^2)

a = atan (Vy/Vx)

- Where Vm is the velocity magnitude (m/s)
- Vx is the x-component of velocity (m/s)
- Vy is the y-component of velocity (m/s)
- a is the angle of the velocity (degrees)

To calculate the magnitude of a velocity vector, square both the x and y-components of velocity, add the result together, then finally take the square root of that value.

## What is the Magnitude of Velocity?

Definition:

A magnitude of velocity measures the hypotenuse between the x and y components of velocity.

## How to Calculate Magnitude of Velocity?

Example Problem:

The following example outlines the steps and information needed to calculate Magnitude of Velocity.

First, determine the x-component of velocity. In this example, the x-component of velocity is found to be 30 m/s.

Next, determine the y-component of velocity. For this problem, the y-component of velocity is found to be 50 m/s.

Finally, calculate the Magnitude of Velocity using the formula above:

Vm = SQRT( Vx^2 + Vy^2)

Vm = SQRT( 30^2 + 50^2)

Vm = 58.309 m/s